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440213214 = 23729734951
BaseRepresentation
bin11010001111010…
…001111011011110
31010200100011000010
4122033101323132
51400143310324
6111403144050
713623515310
oct3217217336
91120304003
10440213214
11206541781
12103515026
13702811bc
14426717b0
15289a8829
hex1a3d1ede

440213214 has 64 divisors (see below), whose sum is σ = 1055370240. Its totient is φ = 119750400.

The previous prime is 440213209. The next prime is 440213227. The reversal of 440213214 is 412312044.

It is a super-3 number, since 3×4402132143 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86439 + ... + 91389.

It is an arithmetic number, because the mean of its divisors is an integer number (16490160).

Almost surely, 2440213214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440213214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527685120).

440213214 is an abundant number, since it is smaller than the sum of its proper divisors (615157026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

440213214 is a wasteful number, since it uses less digits than its factorization.

440213214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 440213214 is about 20981.2586371743. The cubic root of 440213214 is about 760.7133272688.

Adding to 440213214 its reverse (412312044), we get a palindrome (852525258).

The spelling of 440213214 in words is "four hundred forty million, two hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 73 87 146 174 203 219 406 438 511 609 1022 1218 1533 2117 3066 4234 4951 6351 9902 12702 14819 14853 29638 29706 34657 44457 69314 88914 103971 143579 207942 287158 361423 430737 722846 861474 1005053 1084269 2010106 2168538 2529961 3015159 5059922 6030318 7589883 10481267 15179766 20962534 31443801 62887602 73368869 146737738 220106607 440213214